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All right, you can see that this little piece of code, it's got a loop in there, and what's it doing?
好，你们看到的这一小块代码,是做了一个循环吧？,他在做什么？
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How about you tell me what your major will be at the university?
跟我说说在大学你想读什么专业吧？
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I thought, well, maybe we can now go to the Periodic Table and figure out what is going on there.
那么接下来，我们可以讲元素周期表了吧,让我们看一下在这儿我们又会遇到什么问题。
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What is that? It's the piece of code we wrote for computing square roots, square roots of actually perfect squares.
对吧？这是什么呢？,这是我们写的计算平方根的代码，计算完全全平方根的。
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So, let's -- okay, so, why don't you all think about would happen -- we'll start with the thought exercise. You can switch back to my lecture notes then if this isn't going.
好吧，那你们想想会,发生什么，我们来想想,这个问题，如果那个不行的话,你可以转到我的讲义上来了。
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Maybe you don't even know what this-- do you all know what carbon paper-- I guess you do know what this is, right?
或许你们甚至都不知道这是什么东西-,你们都知道复写纸吗-,我猜你们都知道这是什么，对吧？
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So let me remind you of what's happening. Satan flies out of hell.
让我来提醒你们发生什么了吧，撒旦飞出了地狱。
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It's about something else." Well, what is it about?
好吧，那是关于什么的呢？
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And I say, "That's fine. Whatever you want."
我说“行啊，你想喝什么就点什么吧“
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Okay good, no glitches with that?
很好,没有什么故障吧
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Well this third picture you can't probably see too much about but you probably recognize what it is, right?
第三张图可能你们没见过了,但你们能认出这是什么,对吧
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You all put whatever number you have, including the cellphone number. OK What are you looking for, Michelle?
只要有什么号码，都写下来吧，包括手机号码,米歇尔，你想从这门课里学到什么呢？
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I'm still trying to work out a role for you so hang on for one sec.
我还在想给你配个什么角色,先等一会儿吧。
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What's missing in this model of this piece of soccer, this game within a game?
在这个足球的模型中我们忽略了什么,这是一个博弈的模型对吧
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But the keys to study this exception and for practical idea is to come together and to say "what is working? Let's study the best; " let's study what works and then apply it."
但研究这个例外的关键是,大家坐在一切,说“什么是可行的？我们研究最好的吧;,研究可行的事，将它应用到生活中“
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And one day so I was eating my ice-cream because the archives were closed, and this woman came up, and she was probably about fity, or something like that, and she ordered ice-cream, and so this guy says, "Well, Madame whatever, Madame Dupuis, you remember that day don't you, when the Germans came back?" And she said, "Oh I sure do, they hung my husband from that pole."
有一天我正吃冰激凌呢,因为档案馆关了,有个女人过来,她大概有五十岁,她要了个冰激凌,然后这哥们说,"我也忘了什么夫人了,杜普斯夫人,你还记得那天吧,德国人来的那天",然后她说,"我当然记得,他们把我丈夫吊在那根柱子上"
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And so let's take a look at what that does in terms of graphical representation.
所以让我们看看它们在图示中,是什么情况吧。
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I can be a little more careful about keeping track of what goes on inside of that loop. If I don't have any more work to do, let me just stop.
我能更小心点来跟,踪循环里发生了什么,如果没什么可干的了，就停下来吧。
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Moreover, instead of having a strap he had this thing that--a rigid thing-- that you pull out from this-- you know what I'm talking about?
而且他也没用皮带,而是用的现在大家都知道的把手去拖-,你们知道我说的什么吧？
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I was expecting to compare x- and y- values, not radius and angle.
噢，发生了什么？,好吧有错误了。
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We start with j pointing here, and we can see what this loop's going to do, right? j is just going to move up.
我们让j指向这里，我们能看到这个，循环要做什么？,对吧，j要开始移动了。
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Nothing. OK, so why?
什么也没发生，好吧，那为什么呢？
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So to just preface what we're going to do next time, what would happen if I wanted to do sort, and rather than in sorting the entire list at once, I broke it into pieces, and sorted the pieces, and then just figured out a very efficient way to bring those two pieces and merge them back together again?
所以为了引导下一次,我们要讲的内容,如果我想做排序,而且不是一次吧整个列表排完,会发生什么，我把它拆成小的列表,然后把各个小列表排序,接着用高效的方法再把小的列表？
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Well, if you look, Sal, after witnessing what it means -what their business is with one another, he looks out, and he sees the world through Carlo's eyes.
好吧，你们看Sal，在见证了这意味着什么之后,-他们的生意彼此是干嘛的，他留神通过卡洛的眼睛看世界。
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Basic idea, before I even look at the code, is pretty simple. If I've got a list that is sorted, in let's call it, just in increasing order, and I haven't said what's in the list, could be numbers, could be other things, for now, we're going to just assume they're integers.
我们可以说基本的思想是很简单的,如果我有一个排好序的数组，让我们认为这个数组是递增的吧，我并没说数组里元素是什么，可能是数字，也可能是其他的东西，现在我们假设是integer类型的数字吧，最简单的方式就是这么做了：
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In one Psalm--it's great--he's one of the gods and he says, "You know, you guys don't know what you're doing. Let me take over."
其中一篇写得很好，上帝是众神的一员，他说道，“知道吗，你们根本不明白自己在做什么，还是让我来吧“
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Wow, I think we're alright -something needs more regulation here -all these wires.
没弄坏什么吧,我们这里也需要更多监管,地上好多线
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What do I have here? I need the variable, ANS, ANS I need x, and I need ANS times ANS, ANS times ANS. Right. Those are the three things that are involved in this computation.
因此让我先用这个方法做吧，我这里需要什么呢？我需要变量，还需要x，然后将ANS乘以ANS，对,在这个计算中涉及到了三件事情。
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